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Finding the Fourth Proportional to 410,707.12, 615,054.66 and 339,192.22

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Solution

The fourth proportional to 410,707.12, 615,054.66 and 339,192.22 is: 507,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,707.12 : 615,054.66 = 339,192.22 : x
  2. Step 2: Convert to fraction form
    410,707.12/615,054.66 = 339,192.22/x
  3. Step 3: Cross multiply
    410,707.12x = 615,054.66 × 339,192.22
  4. Step 4: Simplify right side
    410,707.12x = 208,621,753,890.37
  5. Step 5: Solve for x
    x = 208,621,753,890.37/410,707.12
  6. Step 6: Final answer
    x = 507,957.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.